Step-by-step explanation:
[tex]3x + y = 7 \: \: \: \: \: \: ...(1) \\ - 2x + y = - 3 \: \: \: \: \: \: \: ...(2)[/tex]
From (1) we get,
[tex]x = \frac{7 - y}{3} \\ [/tex]
put the value of x in equation 2
[tex] - 2( \frac{7-y}{3} ) + y = - 3 \\ \\ - \frac{14 -2y}{3} + y = - 3 \\ \\ \frac{ - 14 -2y+ 3y}{3} = - 3 \\ \\ y - 14 = - 9 \\ y = + 14 - 9 \\ y = 5[/tex]
Now,
put the value of y in equation (1)
[tex]3x + ( - 23) = 7 \\ 3x - 23 = 7 \\ 3x = 7 + 23 \\ 3x = 30 \\ \\ x = \frac{30}{3} \\ \\ x = 10[/tex]
